(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] group theory

1. The problem statement, all variables and given/known data

Let [itex]\phi:G \to G'[/itex] be a group homomorphism. Show that if |G| is finite, then [itex]|\phi(G)|[/itex] is finite and is a divisor of |G|.

2. Relevant equations

3. The attempt at a solution

Should the last word be |G'|? Then it would follow from Lagrange's Theorem.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Group theory

**Physics Forums | Science Articles, Homework Help, Discussion**